Fast switching between infinite-dimensional linear systems

Hua Cheng Zhou, Jian Hua Chen, George Weiss

Research output: Chapter in Book/Conference Proceeding/ReportConference Paper published in a bookpeer-review

1 Citation (Scopus)

Abstract

In this research we are concerned with a switched system that switches very fast between two infinite-dimensional LTI subsystems, such that the overall system spends on average an equal amount of time in both possible subsystems. We ask if it is possible to approximate the switched system with an average system that is the limit of our switched system when the switching period tends to zero. We are mainly concerned with the situation when both subsystems are described by a contraction semigroup on a Hilbert space. We examine in particular the case when both subsystems are obtained from a basic subsystem via different output feedback operators.

Original languageEnglish
Title of host publication2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages53-58
Number of pages6
ISBN (Electronic)9781509028733
DOIs
Publication statusPublished - 28 Jun 2017
Externally publishedYes
Event56th IEEE Annual Conference on Decision and Control, CDC 2017 - Melbourne, Australia
Duration: 12 Dec 201715 Dec 2017

Publication series

Name2017 IEEE 56th Annual Conference on Decision and Control, CDC 2017
Volume2018-January

Conference

Conference56th IEEE Annual Conference on Decision and Control, CDC 2017
Country/TerritoryAustralia
CityMelbourne
Period12/12/1715/12/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

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